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Finding the Fourth Proportional to 214,783.74, 322,215.24 and 70,697.70

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Solution

The fourth proportional to 214,783.74, 322,215.24 and 70,697.70 is: 106,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,783.74 : 322,215.24 = 70,697.70 : x
  2. Step 2: Convert to fraction form
    214,783.74/322,215.24 = 70,697.70/x
  3. Step 3: Cross multiply
    214,783.74x = 322,215.24 × 70,697.70
  4. Step 4: Simplify right side
    214,783.74x = 22,779,876,372.95
  5. Step 5: Solve for x
    x = 22,779,876,372.95/214,783.74
  6. Step 6: Final answer
    x = 106,059.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.